Abstract: The sheet beam with a large width-high ratio is nonaxisymmetrical. In this paper, a 2D macroparticle physical model for space-charge forces in sheet electron beams based on a Green’s function approach is described. In this model, the beam is simulated by a series of rods with nonzero thickness and length. The space-charge force on a rod is found by summing over all the interactions with all the other rods. The rod model is described detailedly, a numerical program based on this model is developed. The transmission of the sheet beam in different electromagnetostatic fields had been simulated using this numerical program , and the calculation results was in good agreement with 3D PIC software’s, which showed that the space-charge fields calculated by Green’s function approach is accurate and reasonable.